18948160 has 112 divisors (see below), whose sum is σ = 56327040. Its totient is φ = 5898240.

The previous prime is 18948133. The next prime is 18948169. The reversal of 18948160 is 6184981.

18948160 = 1² + 2² + ... + 384².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18948169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24256 + ... + 25024.

It is an arithmetic number, because the mean of its divisors is an integer number (502920).

Almost surely, 2^18948160 is an apocalyptic number.

18948160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28163520).

18948160 is an abundant number, since it is smaller than the sum of its proper divisors (37378880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18948160 is a wasteful number, since it uses less digits than its factorization.

18948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 18948160 is about 4352.9484260671. The cubic root of 18948160 is about 266.5972597144.

The spelling of 18948160 in words is "eighteen million, nine hundred forty-eight thousand, one hundred sixty".